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Equilibrium Forward Curves for Commodities

Journal of Finance 2000 55(3), 1297-1338 open access
We develop an equilibrium model of the term structure of forward prices for storable commodities. As a consequence of a nonnegativity constraint on inventory, the spot commodity has an embedded timing option that is absent in forward contracts. This option's value changes over time due to both endogenous inventory and exogenous transitory shocks to supply and demand. Our model makes predictions about volatilities of forward prices at different horizons and shows how conditional violations of the ‘Samuelson effect’ occur. We extend the model to incorporate a permanent second factor and calibrate the model to crude oil futures data.

Equilibrium commodity prices with irreversible investment and non-linear technologies

Journal of Banking & Finance 2018 95, 128-147 open access
We model oil price dynamics in a general equilibrium production economy with two goods: a consumption good and oil. Production of the consumption good requires drawing from oil reserves at a fixed rate. Investment necessary to replenish oil reserves is costly and irreversible. We solve for the optimal consumption, production and oil reserves policy for a representative agent. We analyze the equilibrium price of oil, as well as the term structure of oil futures prices. Because investment in oil reserves is irreversible and costly, the optimal investment in new oil reserves is periodic and lumpy. Investment occurs when the crude oil is relatively scarce in the economy. This generates an equilibrium oil price process that has distinct behavior across two regions (characterized by the abundance/scarcity of oil). We undertake three empirical tests suggested by our model. First, we estimate key parameters using SMM to match moments of oil price futures as well as other macroeconomic properties of the data. Second, we estimate an affine regime switching model of the oil price, which captures the main features of our equilibrium model and preserves the tractability of reduced-form models. Lastly, we compare the risk premium in short-maturity oil futures implied by our model to the data.

PEAD.txt: Post-Earnings-Announcement Drift Using Text

Journal of Financial and Quantitative Analysis 2023 58(6), 2299-2326 open access
Abstract We construct a new numerical measure of earnings announcement surprises, standardized unexpected earnings call text (SUE.txt), that does not explicitly incorporate the reported earnings value. SUE.txt generates a text-based post-earnings-announcement drift (PEAD.txt) larger than the classic PEAD. The magnitude of PEAD.txt is considerable even in recent years when the classic PEAD is close to 0. We explore our text-based empirical model to show that the calls’ news content is about details behind the earnings number and the fundamentals of the firm.